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22000102022209 is a prime number
BaseRepresentation
bin1010000000010010011000…
…10001000001110001000001
32212220012002221021121210011
411000021030101001301001
510340422202104202314
6114442412441504521
74430312015503543
oct500111421016101
985805087247704
1022000102022209
1170122110606a3
1225739257a2141
13c377a6a1917c
14560b4c4a7693
15282416cb74c4
hex14024c441c41

22000102022209 has 2 divisors, whose sum is σ = 22000102022210. Its totient is φ = 22000102022208.

The previous prime is 22000102022203. The next prime is 22000102022231. The reversal of 22000102022209 is 90222020100022.

It is an a-pointer prime, because the next prime (22000102022231) can be obtained adding 22000102022209 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17237982978225 + 4762119043984 = 4151865^2 + 2182228^2 .

It is a cyclic number.

It is not a de Polignac number, because 22000102022209 - 25 = 22000102022177 is a prime.

It is a super-2 number, since 2×220001020222092 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22000102022209.

It is not a weakly prime, because it can be changed into another prime (22000102022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000051011104 + 11000051011105.

It is an arithmetic number, because the mean of its divisors is an integer number (11000051011105).

Almost surely, 222000102022209 is an apocalyptic number.

It is an amenable number.

22000102022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000102022209 is an equidigital number, since it uses as much as digits as its factorization.

22000102022209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 22000102022209 in words is "twenty-two trillion, one hundred two million, twenty-two thousand, two hundred nine".